Sub-optimal fuzzy controller synthesis method taking into account control signal amplitude constraints

A method for a sub-optimal fuzzy controller synthesis taking into account the control signal amplitude constraint is presented in the paper. The control system evaluation utilizes a quadratic factor based on the vector of the state variables exclusively. An assumption is made that variations of any control signal component fall in the predetermined range. The synthesis method was developed for a TSK (Takagi-Sugeno-Kanga) fuzzy controller. The inference rules contain fuzzy antecedents and funtional consequents. The fuzzy controller synthesis method requires the knowledge of the nonlinear model of the plant. The paper provides the example of synthesis of fuzzy controller for vibroisolation system, taking into account the constraints imposed on the basis of an already known model of the plant to be vibro-isolated.